Atkin-Lehner |
5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525o |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
6697829125 = 53 · 133 · 293 |
Discriminant |
Eigenvalues |
-2 -1 5- -3 -4 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-498,1848] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:71:1] [-8:72:1] |
Generators of the group modulo torsion |
j |
49836032/24389 |
j-invariant |
L |
3.949795511019 |
L(r)(E,1)/r! |
Ω |
1.1838848084188 |
Real period |
R |
0.27802504381134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122525l1 122525m1 |
Quadratic twists by: 5 13 |